Graphs of Exponential Functions Worksheet with Answer Key

What's on the worksheet

1. Find the exact y-coordinate of the point on each graph at the given x.
   y = 12 \cdot 2^x,\ x = -2y = 5\left(\dfrac{1}{5}\right)^x,\ x = -1y = 16(0.5)^x,\ x = -3y = 2 \cdot 3^x,\ x = -3y = 9\left(\dfrac{2}{3}\right)^x,\ x = 2
2. Find the range of an exponential graph drawn on a limited domain.
3. Find a from a point, then the y-intercept and a height of the graph.
4. Decide for each rule whether its graph passes through a point, falls and has the given asymptote.
5. Compare four graphs, including which is the mirror image of another in the y-axis.
6. Check Mei's claim that a stretched exponential is the same as a shifted one.
7. Match each graph in the figure to its rule.
8. Word problem: the area of Hannah's paper as she keeps cutting and stacking.